Impulsive sampled-data controller design for synchronization of delayed T–S fuzzy Hindmarsh–Rose neuron model

Prasath Nirvin, Fathalla A. Rihan, Rajan Rakkiyappan, Chandrasekar Pradeep

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In this paper, the authors investigate the synchronization criteria of fuzzy impulsive sampled data control for Hindmarsh–Rose (H–R) neuronal system with time-delay. For the stability analysis, Lyapunov–Krasovskii functionals (LKF) are employed to deduce the conditions that guarantee the asymptotical stability of the proposed T–S fuzzy H–R neuron system. By utilizing free-matrix based inequality, some sufficient conditions are derived and expressed in terms of linear matrix inequalities. The obtained sufficient conditions can be checked easily by standard available software packages in MATLAB. Finally, some numerical simulations are given to validate the effectiveness of the proposed conditions.

Original languageEnglish
Pages (from-to)588-602
Number of pages15
JournalMathematics and Computers in Simulation
Volume201
DOIs
Publication statusAccepted/In press - 2021

Keywords

  • Hindmarsh–Rose (H–R) neuron model
  • Impulsive control
  • Linear matrix inequality (LMI)
  • Synchronization
  • Takagi–Sugeno (T–S) fuzzy rules

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)
  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics

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